Your diary is missing numerous days and has some, what appear to be, part days. Are you still counting calories? Most people find it difficult to over eat on LCHF but there are a number of people who do. If you're not logging 100% you wont know your calorie intake, LCHF has a number of benefits but its calories in vs calories out that causes weight loss.

If I understand correctly, you're making a conscious effort to reach a certain amount of consumed fat every day. Even beyond what you're specifically hungry for??? That isn't a bad idea in the very beginning as a way to say "Hey body, here's your new fuel. Use it! You ain't gettin nothin else!" Lol
But now that you're a few weeks in, you're body has gotten the message and you don't need to consume the whole amount of fat calories it gives you. If you are actually finding that you look at your consumed fat and see its low for the day and you're feeling hungry, real hunger and not boredom or an idea that it's noon so I'm supposed to eat now kind of hunger, then definitely eat. But if you notice your consumed fat is lower and your completely satisfied, don't worry about eating it.
See, you've spent the last few weeks teaching your body that fat is its preferred fuel. So, if you don't feed it enough, it will use fat from storage and that's what most of us are hoping for.

And as far as the idea that Keto or low carb is a primarily meat diet, that's not really the case.
The true idea behind it is to eat just the required amount of protein to save or build muscle if you're working out, and eat quite a lot of green leafy vegetables. This is what the idea behind counting net carbs was created for. Not for sugar alcohols but to allow lots of veggies. Everyone's personal thrrshhold is a bit different, but the basic recommendation is 50g NET carbs. But only fiber from green leafy veggies are subtracted. Not fiber added to Atkins or quest bars or any sweeteners. That whole thing was created by Michael Eads and was first introduced in his book Protein Power. He was interviewed saying that once the processed food companies (Atkins) got wind of it, they started slapping "net carbs" on all their candy bars, I mean meal bars Lol

Anyway, that doesn't mean you can't have a mostly or even completely animal product based diet, because several of us in this group do and lots of other people. I probably consume a total of 8 ounces of vegetables (usually broccoli, zucchini or romaine lettuce) over an entire week most of the time. I feel best this way. For some reason I just can't digest that stuff without feeling awful.
This doesn't necessarily mean that I eat way more protein than most people though because I add whatever fat I need to achieve satiety, and that's probably no less than 120g a day. I don't log food anymore and I haven't since going carnivore, so I honestly have no idea what my numbers are like.
Maybe I'll log today out of curiosity???
Anyway, a high protein diet can be fine though. The idea that it turns to glucose is true but not always conveyed accurately. It's a demand driven process. If you're providing enough carbs from veggies to supply all or most of your brains glucose needs, which is lower in a fat adapted person, then the body doesn't need to turn protein into glucose, or not much anyway. And if it does, it's because it needs it...
An exception to this is if you are insulin resistant or type 2 diabetic. Because of the high insulin production, the demand is high for glucose to prevent blood sugar from going low. However, the best way to correct the high insulin problem is to stop providing so much glucose... So keeping protein limited is often the way to go. At least until insulin resistance is reversed.

Sunny Bunny did a great job of explaining it. She's right that everyone's threshold is different. I have the opposite problem from her and get stomach aches when I eat meat, so I'm primarily a vegetarian. I rely mostly on eggs and dairy for protein along with vegetables. It makes a Keto diet a little more difficult, but not impossible. Logging everything in the beginning really is helpful for showing where you can tweak things for improvement. It also puts into perspective just how bad that one (latte, cookie, candy, etc.) really was for your macros when you see it in writing.